🔹 Zmod1 = { [0] } That’s it. One residue class.
🔹 0 + 0 ≡ 0, 0 × 0 ≡ 0.
If you’ve ever worked with modular arithmetic, you know ℤ/nℤ. But have you ever considered ? 🔹 Zmod1 = { [0] } That’s it
Let’s talk about — the ring of integers modulo 1. 🔹 Zmod1 = { [0] } That’s it
#MathPost #ModularArithmetic #AbstractAlgebra #TrivialRing #Zmod1 🔹 Zmod1 = { [0] } That’s it
🔹 Two integers are congruent mod 1 if their difference is divisible by 1 — which is always true. So every integer is equivalent to 0 .